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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 565 · 40 questions
TalentJR

How to solve it (Always out of the cost): p% of N = N × p ÷ 100. Profit = selling price − cost price; profit % = profit ÷ cost price × 100 (loss works the same way). Discount = p% of the marked price; selling price = marked price − discount.

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  1. 1.A shopkeeper buys a toy for ₹420 and sells it for ₹294. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  2. 2.A bag marked ₹1460 is sold at a 15% discount. What is its selling price? (a) ₹1445 (b) ₹1241 (c) ₹219 (d) ₹1679
  3. 3.What is 15% of 540? (a) 459 (b) 81 (c) 162 (d) 810
  4. 4.What is 15% of 620? (a) 930 (b) 186 (c) 527 (d) 93
  5. 5.What is 10% of 940? (a) 846 (b) 94 (c) 188 (d) 940
  6. 6.A shopkeeper buys a toy for ₹660 and sells it for ₹825. What is his profit percent? (a) 25% (b) 20% (c) 30% (d) 26%
  7. 7.A shopkeeper buys a toy for ₹940 and sells it for ₹1316. What is his profit percent? (a) 45% (b) 41% (c) 40% (d) 35%
  8. 8.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 15% (b) 84% (c) 5% (d) 10%
  9. 9.A shopkeeper buys a toy for ₹460 and sells it for ₹690. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  10. 10.A shopkeeper buys a toy for ₹220 and sells it for ₹132. What is his loss percent? (a) 35% (b) 45% (c) 88% (d) 40%
  11. 11.A shopkeeper buys a toy for ₹700 and sells it for ₹840. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 21%
  12. 12.What is 40% of 560? (a) 448 (b) 224 (c) 336 (d) 2240
  13. 13.What is 10% of 100? (a) 10 (b) 100 (c) 90 (d) 20
  14. 14.What is 50% of 980? (a) 490 (b) 4900 (c) 980 (d) 491
  15. 15.What is 20% of 460? (a) 184 (b) 368 (c) 92 (d) 920
  16. 16.What is 30% of 180? (a) 540 (b) 54 (c) 126 (d) 108
  17. 17.A shopkeeper buys a toy for ₹120 and sells it for ₹132. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 12%
  18. 18.A shopkeeper buys a toy for ₹420 and sells it for ₹357. What is his loss percent? (a) 20% (b) 15% (c) 63% (d) 10%
  19. 19.A bag marked ₹460 is sold at a 30% discount. What is its selling price? (a) ₹598 (b) ₹138 (c) ₹430 (d) ₹322
  20. 20.What is 40% of 500? (a) 2000 (b) 300 (c) 200 (d) 400
  21. 21.A shopkeeper buys a toy for ₹200 and sells it for ₹280. What is his profit percent? (a) 80% (b) 40% (c) 35% (d) 45%
  22. 22.A shopkeeper buys a toy for ₹860 and sells it for ₹946. What is his profit percent? (a) 15% (b) 86% (c) 5% (d) 10%
  23. 23.What is 60% of 200? (a) 80 (b) 1200 (c) 240 (d) 120
  24. 24.A shopkeeper buys a toy for ₹600 and sells it for ₹360. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
  25. 25.A bag marked ₹1620 is sold at a 50% discount. What is its selling price? (a) ₹1570 (b) ₹2430 (c) ₹811 (d) ₹810
  26. 26.A shopkeeper buys a toy for ₹120 and sells it for ₹156. What is his profit percent? (a) 30% (b) 36% (c) 25% (d) 35%
  27. 27.What is 5% of 480? (a) 24 (b) 240 (c) 456 (d) 48
  28. 28.A shopkeeper buys a toy for ₹280 and sells it for ₹266. What is his loss percent? (a) 14% (b) 10% (c) 5% (d) 6%
  29. 29.A shopkeeper buys a toy for ₹320 and sells it for ₹288. What is his loss percent? (a) 32% (b) 5% (c) 15% (d) 10%
  30. 30.What is 15% of 760? (a) 114 (b) 646 (c) 228 (d) 1140
  31. 31.A shopkeeper buys a toy for ₹320 and sells it for ₹240. What is his loss percent? (a) 25% (b) 80% (c) 30% (d) 20%
  32. 32.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 5% (b) 10% (c) 6% (d) 9%
  33. 33.A shopkeeper buys a toy for ₹420 and sells it for ₹399. What is his loss percent? (a) 5% (b) 10% (c) 21% (d) 6%
  34. 34.A shopkeeper buys a toy for ₹340 and sells it for ₹476. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
  35. 35.A shopkeeper buys a toy for ₹660 and sells it for ₹693. What is his profit percent? (a) 6% (b) 5% (c) 33% (d) 10%
  36. 36.A shopkeeper buys a toy for ₹640 and sells it for ₹544. What is his loss percent? (a) 20% (b) 96% (c) 10% (d) 15%
  37. 37.A shopkeeper buys a toy for ₹260 and sells it for ₹312. What is his profit percent? (a) 25% (b) 15% (c) 52% (d) 20%
  38. 38.A bag marked ₹320 is sold at a 25% discount. What is its selling price? (a) ₹400 (b) ₹80 (c) ₹295 (d) ₹240
  39. 39.What is 15% of 180? (a) 54 (b) 27 (c) 270 (d) 153
  40. 40.A shopkeeper buys a toy for ₹620 and sells it for ₹589. What is his loss percent? (a) 6% (b) 31% (c) 10% (d) 5%

Answer key

  1. 30%
  2. ₹1241
  3. 81
  4. 93
  5. 94
  6. 25%
  7. 40%
  8. 10%
  9. 50%
  10. 40%
  11. 20%
  12. 224
  13. 10
  14. 490
  15. 92
  16. 54
  17. 10%
  18. 15%
  19. ₹322
  20. 200
  21. 40%
  22. 10%
  23. 120
  24. 40%
  25. ₹810
  26. 30%
  27. 24
  28. 5%
  29. 10%
  30. 114
  31. 25%
  32. 5%
  33. 5%
  34. 40%
  35. 5%
  36. 15%
  37. 20%
  38. ₹240
  39. 27
  40. 5%

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